A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?

11 business class and 16 economy class

12 business class and 15 economy class

15 business class and 12 economy class

16 business class and 11 economy class

Question

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?

 11 business class and 16 economy class

 12 business class and 15 economy class

 15 business class and 12 economy class

 16 business class and 11 economy class

undeadknight26 · Answer

i think it would be the 2nd or third one.

undeadknight26 · Answer

@agent0smith @charlotte123 @phi please help

undeadknight26 · Answer

@ash2326 @hartnn @austinL please help me.

undeadknight26 · Answer

@SolomonZelman

undeadknight26 · Answer

@SolomonZelman i need help on like 7 questions can you help.

solomonzelman · Answer

You have $15000
let:
Number of the business-class seats = A           each A costs 700
Number of the economy-class seats = E           each B costs 375

27 seats needed.

undeadknight26 · Answer

its c...

undeadknight26 · Answer

can you help me with this one also?
How many solutions will this system of equations have?

y = -3.5x - 3.5
y = -3.5x + 3.5

 No solution

 Infinite solutions

 One solution

 Two solutions

anonymous · Answer

Well first you'd want to graph that. I use https://www.desmos.com/calculator this it's great. Just plug in your functions

anonymous · Answer

@undeadknight26 Remember if the slope is the same you always have no solutions.

undeadknight26 · Answer

Thank you that is some very useful info green.

undeadknight26 · Answer

A consistent system of equations is a system with __________.

 the same line

 parallel lines

 intersecting lines and lines that have the same slope

 intersecting lines and lines that have the same equation

solomonzelman · Answer

Did you just plug in the choices?

 11(700) + 16(375)
 12(700) + 15(375)
 15(700) +  12(375)
 16(700) + 11(375)
yes it is C.

I tried to do it logically, but I can't, too long...

undeadknight26 · Answer

lol yes that is what i did since i knew the prices for each ticket.

solomonzelman · Answer

For your last question, I would say, those that have teh same solution for both equations of the system.

undeadknight26 · Answer

so which would that be?

solomonzelman · Answer

Not A, b/c it is 2 different lines.
Not necessarily B, the lines don't have to be parallel.
Not C, b/c they don't have to have the same slope, in fact they for sure don't.

So I think D makes sense the most.